Finding the Third Proportional to 5,164 and 10,436

Step by Step Solution

1. Step 1: Write the proportion equation
   5,164 : 10,436 = 10,436 : x
2. Step 2: Convert to fraction form
   5,164/10,436 = 10,436/x
3. Step 3: Cross multiply
   5,164x = 10,436 × 10,436
4. Step 4: Simplify right side
   5,164x = 108,910,096
5. Step 5: Solve for x
   x = 108,910,096/5,164
6. Step 6: Final answer
   x = 21,090.26